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Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas

Mathematical Physics 2025-06-05 v1 math.MP

Abstract

We consider a dilute Bose gas in the thermodynamic limit. We prove an upper bound for the ground state energy per unit volume, capturing the expected third order term, as predicted by Wu, Hugenholtz-Pines and Sawada.

Keywords

Cite

@article{arxiv.2506.04153,
  title  = {Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas},
  author = {Morris Brooks and Jakob Oldenburg and Diane Saint Aubin and Benjamin Schlein},
  journal= {arXiv preprint arXiv:2506.04153},
  year   = {2025}
}